Question

Statistics questions:
1. The standard deviation of is called:

A. the standard deviation of X

B. the standard error of

C. the mean deviation of

D. the standard deviation of the population

2. The entire group of persons, places or items that we want to collect observations from is known as:

A. frame

B. population

C. sample space

D. sample

3. Given a normally distributed population with mean µ_x and variance σ², the sampling distribution of the sample mean is normally distributed with mean and variance, respectively

A. µ and σ/n

B. µ and σ² /n

C. µ and σ²

D. and σ^2
4. A sampling distribution of the sample statistic :

A. a population distribution of  .

B. a population sampling of  .

C. a probability distribution of  .

D. a random sampling of  

Answer 1

1. Standard deviation of sample mean is $\frac{\sigma }{\sqrt{n}}$ and it is standard error

So answer here is

B. the standard error of

2. In statistics, a population is a set of similar items or events which is of interest for some question or experiment.

Hence here answer is

B. population

3. As population is normal, as per central limit theorem distribution of sample mean is normal with mean and standard deviation as

B. µ and σ² /n

4. Here it is asked for sampling mean and not for population.

C. a probability distribution of  .